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Finding the Fourth Proportional to 306.17, 422.03 and 282.32

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Solution

The fourth proportional to 306.17, 422.03 and 282.32 is: 389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.17 : 422.03 = 282.32 : x
  2. Step 2: Convert to fraction form
    306.17/422.03 = 282.32/x
  3. Step 3: Cross multiply
    306.17x = 422.03 × 282.32
  4. Step 4: Simplify right side
    306.17x = 119,146.10
  5. Step 5: Solve for x
    x = 119,146.10/306.17
  6. Step 6: Final answer
    x = 389.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.